LCM of 943, 757, 697, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 757, 697, 391 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 943, 757, 697, 391. So, keep reading to learn more.
Given numbers are 943,757,697,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,757,697,391 is 12135467.
Find LCM of 943,757,697,391 with Prime Factorization
| 17 | 943, 757, 697, 391 |
| 23 | 943, 757, 41, 23 |
| 41 | 41, 757, 41, 1 |
| 1, 757, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 41 x 1 x 757 x 1 x 1 = 12135467
Therefore, the lowest common multiple of 943,757,697,391 is 12135467.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
943 x 757 x 697 x 391 = 194543671477
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
943 : 1, 23, 41, 943
757 : 1, 757
697 : 1, 17, 41, 697
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,757,697,391, is 1.
Now, the common factors can be found like this.
943:23x 41
757:757
697:17x 41
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23x 41 = 16031
Therefore, the value for common factors is 16031.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 194543671477/(1x16031)
LCM = 194543671477/16031
LCM = 12135467
Thus, we can understand that the LCM of 943,757,697,391 is 12135467.
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FAQs on LCM of 943, 757, 697, 391
1. What is the LCM of 943, 757, 697, 391?
Answer: LCM of 943, 757, 697, 391 is 12135467.
2. How to calculate the LCM of 943, 757, 697, 391?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 943, 757, 697, 391.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.